LECTURE NOTES IN ANALYSIS (2011)
《LECTURE NOTES IN ANALYSIS (2011)》 · 第 289 页 · Notes on Chapter 5，§5.1
Catalan conjectured that 8 and 9 are the only positive consecutive perfect powers. That is, the only integral solutions of the equation $x^m-y^n=1$ with $x>0$, $y>0$, $m>1$, $n>1$ is $3^2-2^3=1$.